Theorems · Theorem · general topology
Filter.disjoint_prod
∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {g : Filter β} {f' : Filter α} {g' : Filter β},
Disjoint (f ×ˢ g) (f' ×ˢ g') ↔ Disjoint f f' ∨ Disjoint g g'- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Bot.botproof · cited by 4,720
- Disjointstatement · cited by 2,201
- SProd.sprodstatement · cited by 1,750
- Filter.prod_inf_prodproof · cited by 6
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